Variational Methods in the pursuit of an Action principle for
fluid turbulence
Rich Kerswell
Abstract:
I will
briefly discuss the history of variational methods
applied to fluid
turbulence dating back to Malkus's original proposal
in 1954, Howard's
reformulation in 1963, Busse's work in 1969 and 1970,
and the discovery of
a complementary approach by Doering and Constantin in 1992. First steps in
exploring the possible existence of an `action principle' will then be
described.